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Finding the Third Proportional to 196,817,813 and 422,843,919

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Solution

The third proportional to 196,817,813 and 422,843,919 is: 908,439,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,817,813 : 422,843,919 = 422,843,919 : x
  2. Step 2: Convert to fraction form
    196,817,813/422,843,919 = 422,843,919/x
  3. Step 3: Cross multiply
    196,817,813x = 422,843,919 × 422,843,919
  4. Step 4: Simplify right side
    196,817,813x = 178,796,979,835,278,560
  5. Step 5: Solve for x
    x = 178,796,979,835,278,560/196,817,813
  6. Step 6: Final answer
    x = 908,439,013.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.